NO Non-Confluence Proof

Non-Confluence Proof

by csi

Input

The rewrite relation of the following TRS is considered.

b c
h(h(b,b),f(f(h(h(c,c),c)))) c
f(b) b
f(h(a,c)) a

Proof

1 Non-Joinable Fork

The system is not confluent due to the following forking derivations.

t0 = h(h(b,b),f(f(h(h(c,c),c))))
1.1 h(h(c,b),f(f(h(h(c,c),c))))
= t1

t0 = h(h(b,b),f(f(h(h(c,c),c))))
ε c
= t1

The two resulting terms cannot be joined for the following reason:

Tool configuration

csi